Apart from gel electrophoresis, you can also run internal control genes such as GAPDH / beta actin if RNA samples from human / animal, 16S rDNA amplification for bacteria and etc... to ensure the cDNA successfully converted.
I'll rather amplify it with specific primers that should not work on genomic DNA: design two primers separated by a large intron, and then use a small amount of your diluted cDNA (ie: if you retrotranscribed 500ng, in 20µl, use 5µl of a 1:10 dilution).
I think easiest way is to just to a simple PCR/qPCR with internal control such as GAPDH or ACTB. just make sure the primers target CDS. If the agarose gel show distinct band of the housekeeping gene meaning your cDNA is fine
If you want a sensitive method to assess cDNA product size/integrity, you can label the cDNA during the RT step. Traditionally this is done using 32P dCTP, but can also be done using biotin-11-dUTP. Make a dNTP mix with a 1:1:0.6:0.4 ratio of dGTP:dCTP:dATP:dTTP: biotin-11-dUTP. Separate a sample of the cDNA reaction product on agarose, blot onto nylon and detect with streptavidin-AP or streptavidin-HRP. If you have biotinylated DNA standards, you could quantify cDNA as well by dot-blot.
To be sure you produce cDNA from transcripts and follow the genomic DNA contamination the solution was already given above, PCR for a selected gene using primers around an intron and analyse the band length in an agarose gel.
I would suggest directly go for your RT-PCR rather than checking it on gel. as on gel it will give you a smear so better to confirm through PCR. Hope it will be helpful.